Title: On the Existence of Infinitely many Primes of the form X 2 +1
Abstract: In this paper we point out that very superior continuity of root Mersenne primes and very weak continuity of non-root Mersenne primes among known Mersenne primes may imply existence of infinitely many Mersenne primes and existence of infinitely many composite Fermat numbers and finitely many Fermat primes, from which we may infer every Fermat number is composite for n>4 to indicate existence of infinitely many primes of the form x 2 +1.
Publication Year: 2012
Publication Date: 2012-01-01
Language: en
Type: article
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Cited By Count: 7
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